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Finding the Fourth Proportional to 465.32, 697.64 and 176.52

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Solution

The fourth proportional to 465.32, 697.64 and 176.52 is: 264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.32 : 697.64 = 176.52 : x
  2. Step 2: Convert to fraction form
    465.32/697.64 = 176.52/x
  3. Step 3: Cross multiply
    465.32x = 697.64 × 176.52
  4. Step 4: Simplify right side
    465.32x = 123,147.41
  5. Step 5: Solve for x
    x = 123,147.41/465.32
  6. Step 6: Final answer
    x = 264.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.